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P37.cpp
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#include<iostream>
#include<fstream>
#include<string>
#include<queue>
#include<stack>
#include<vector>
#include<map>
#include<set>
#include<list>
#include<algorithm>
#include<math.h>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<ctime>
#define MAXN 10000000
#define LL long long
#define eps 1e-8
#define inf 0x3f3f3f3f
using namespace std;
int prim[MAXN+1]={0,2},vis[MAXN+1]={1,1};
int t = 1;
int sum = 0;
int digit[] = {2,5,3,7,1,9};//2,5只能放在最高位,3,7随意,1,9只能放在中间
void getprim()
{
int p = 2;
while(p<MAXN)
{
for(int i = p+p; i<=MAXN; i += p)
vis[i] = 1;
p++;
while(p<MAXN&&vis[p])p++;
if(p>=MAXN)
break;
prim[++t] = p;
}
return;
}
bool isPrim(LL n)
{
if(n<=MAXN)
{
if(vis[n])
return false;
return true;
}
int limit = sqrt(n)+0.5, i;
for(i=1;i<=t&&prim[i]<=limit; i++)
if(n%prim[i]==0)
return false;
if(i>t)
{
for(i=prim[t]+1;i<=limit; i++)
if(n%i==0)
return false;
}
return true;
}
LL ToInteger(int *num, int len)
{
LL n = 0;
for(int i=1;i<=len;i++)
n = n*10 + num[i];
return n;
}
bool RTruncPrime(LL n)
{
int mod = 10;
while(n / mod)
{
if(isPrim(n%mod) == false)
return false;
mod *= 10;
}
return true;
}
void findTruncPrime(int *num, int len)
{
LL n;
for(int i = 2; i <= 5; i++)
{
num[len+1] = digit[i];
n = ToInteger(num, len+1);
if(isPrim(n))
{
if(RTruncPrime(n))
{
printf("%I64d\n",n);
sum += n;
}
}
else
continue;//当前构不成质数,进行下一次循环
findTruncPrime(num, len+1);
}
return;
}
int main()
{
double duration;
clock_t start;
start = clock();
getprim();
int num[10];
for(int i=0;i<4;i++)
{
num[1] = digit[i];
findTruncPrime(num,1);
}
printf("sum is %d(2,3,5,7 are not considered).\n", sum);
duration = ((double)(clock()-start))/CLOCKS_PER_SEC;
printf("Time cost: %f s.\n", duration);
}